Hex to Octal Converter

What Is Hexadecimal?

Hexadecimal is a base 16 number system. It uses digits 0 to 9 and letters A to F. Each position represents a power of 16. Computers and programmers use hex because it writes long binary values in a shorter, easier form. For example, A means 10.

What Is the Octal Number System?

The octal number system uses base 8 and only the digits 0 to 7. Each octal digit represents three binary bits. This makes octal useful for reading binary values in shorter groups, especially in computing and Unix file permissions.

How to Convert Hex to Octal Manually

Convert hex to octal through binary. Change each hex digit into four binary bits. Then group the bits into sets of three.

Formula:
$Hex \rightarrow Binary \rightarrow Octal$. Each hex digit uses 4 bits. Each octal digit uses 3 bits.

Step by step Guide

1. Write the hex number.
2. Convert each digit to 4 bits.
3. Group bits into 3 from the right.
4. Add leading zeros if needed.
5. Convert each group to octal.
6. Read the result.

Practical Example:
$1A3_{16}=0001\ 1010\ 0011_2$. Group as $000\ 110\ 100\ 011$. This gives 0, 6, 4, 3. Drop the first zero, so $1A3_{16}=643_8$.

Hex to Octal conversion table

Note: Hex digits map to four binary bits, while octal digits map to three. Add leading zeros before grouping so every binary group has three bits.

Hex to Octal Conversion Tips

Check every hex digit before converting. Hex uses A to F, while octal uses only 0 to 7. The easiest student method is Hex → Binary → Octal. Use four bits for each hex digit, then groups of three for octal. Add leading zeros when needed and check your answer by converting it back.